RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF VARIABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which measure of variation is the difference between the maximum and minimum of the data?
A
mean
B
median
C
mode
D
range
Explanation: 

Detailed explanation-1: -Variability is most commonly measured with the following descriptive statistics: Range : the difference between the highest and lowest values. Interquartile range: the range of the middle half of a distribution.

Detailed explanation-2: -Range is one of the simplest measures of variation. It’s the lowest point of data subtracted from the highest point of data. For example, if your highest point is 10 and your lowest point is three, your range would be seven. The range tells you a general idea of how widely spread your data is.

Detailed explanation-3: -The range is the difference between the high and low values. Since it uses only the extreme values, it is greatly affected by extreme values. The variance is the average squared deviation from the mean. It usefulness is limited because the units are squared and not the same as the original data.

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